Jagsaw VI - An Exercise In Logic

Jagsaw VI by Alexander Magyarics

I received a nice big package from Alexander at the end of the year and when opened I was delighted to see a whole bunch of interesting challenges in the box - Mrs S was not quite so delighte, however.

I was intrigued to see something that is new to Alex's repertoire, a jigsaw puzzle. As you know I have been a little fixated on Jigsaws recently having had very mixed success at the wonderful jigsaws in trays designed by Haym Hirsh. 

The interesting thing here is that it is only a six piece jigsaw with no frame and instructions to make a 3x2 array of the pieces:

Instructions that give away nothing except a very big clue...only 1 solution!

 Having seen that there are only six pieces and no restriction of a frame, I decided that this was to be my next challenge this year. After all, how hard can it be? Have I learned nothing from these blasted puzzle designers yet? Apparently not! 

The pieces are standard jigsaw pieces with all the protuberances or orifices being either rectilinear, singly curved or doubly curved which restricts which pieces can intersect with each other. I started initially with random pairing of pieces to see which pieces could interlink and how many possibilities for each piece there was. It quickly became apparent that it would not be possible to solve this with random trial and error. The pieces were too similar and with six of them I could not keep track of what I had tried. Time for a little think©ing. This was going to hurt!

This might make things much harder!

I spent a good couple of days fixated that there would be no interior gaps (i.e. the single curved protuberances would only interact with single curved orifices. I thought that this would significantly limit the number of possible interactions that I needed to try and would leave me with a pure logic based solution. Two days wasted on that - it certainly helped with the logic but, of course, Alex would never make it quite that easy! Eventually the realisation whacked me over the head that there were going to be gaps and irregularities in the outline. The only stipulation in the instructions was that they should fit together in the 3x2 grid. The shapes would restrict the way they could fit together by preventing some fits completely but if there was a gap then that would still be allowable. This then helped me find one piece that could ONLY be oriented in one way on the outer edge. From this, it was possible to work out several possible pieces that might go next but walking this pathway seemed to end in dead ends fairly fast (I was hoping that this was the sort of approach that Alex had intended because my head was hurting quite a lot at this stage). I did need to keep track of 2 or three possible pathways and eventually narrowed it down to decide on another definite external edge.

Once I had worked out this, it became a little bit more logical but still a fair bit of trial and error as every piece had several possibilities.

Finally, after about 5 days, I had my solution. It was very satisfying. This is a rather clever puzzle which needs thought and planning rather than trial and error. It certainly is good for beginners to show them that simple looking puzzles might not be as simple as they appear. Having said that, I think most beginners would give up long before they found the solution. I very nearly gave up myself. I think my Jigsawing period might have to stop for a little while due to brain-ache!

Having found my assembly, I had a fun time putting this into Burrtools to prove to myself that there was indeed only one solution and that it did not fit together with no gaps. Thank you Alex, it was a lot of fun! Plenty more challenges left to do from your box (although Mrs S is threatening to hide the box away 😱.